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Finding the Third Proportional to 1,730,222.63 and 3,786,133.69

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Solution

The third proportional to 1,730,222.63 and 3,786,133.69 is: 8,284,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,222.63 : 3,786,133.69 = 3,786,133.69 : x
  2. Step 2: Convert to fraction form
    1,730,222.63/3,786,133.69 = 3,786,133.69/x
  3. Step 3: Cross multiply
    1,730,222.63x = 3,786,133.69 × 3,786,133.69
  4. Step 4: Simplify right side
    1,730,222.63x = 14,334,808,299,622.35
  5. Step 5: Solve for x
    x = 14,334,808,299,622.35/1,730,222.63
  6. Step 6: Final answer
    x = 8,284,950.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.